485433930240 has 960 divisors, whose sum is σ = 1999584018432. Its totient is φ = 106500096000.

The previous prime is 485433930143. The next prime is 485433930253. The reversal of 485433930240 is 42039334584.

485433930240 is a `hidden beast` number, since 4 + 8 + 5 + 4 + 339 + 302 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×485433930240³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754951359 + ... + 754952001.

Almost surely, 2^485433930240 is an apocalyptic number.

485433930240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485433930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999792009216).

485433930240 is an abundant number, since it is smaller than the sum of its proper divisors (1514150088192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

485433930240 is a wasteful number, since it uses less digits than its factorization.

485433930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 485433930240 in words is "four hundred eighty-five billion, four hundred thirty-three million, nine hundred thirty thousand, two hundred forty".